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Finding the Third Proportional to 844,936 and 1,878,782

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Solution

The third proportional to 844,936 and 1,878,782 is: 4,177,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,936 : 1,878,782 = 1,878,782 : x
  2. Step 2: Convert to fraction form
    844,936/1,878,782 = 1,878,782/x
  3. Step 3: Cross multiply
    844,936x = 1,878,782 × 1,878,782
  4. Step 4: Simplify right side
    844,936x = 3,529,821,803,524
  5. Step 5: Solve for x
    x = 3,529,821,803,524/844,936
  6. Step 6: Final answer
    x = 4,177,620.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.